Applications of Derivatives Word Problems : Rate of Change in Speed and Distance
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(1) At noon, ship A is 60 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship B is sailing north at 25 knots. How fast is the distance between the ships changing at 8 PM, in knots?
(2) A street light is at the top of a 22 ft tall pole. A woman 12 ft tall walks away from the pole with a speed of 9 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 39 ft from the base of the pole?
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Solution Summary
Speed and distance are investigated using derivatives. The solution is detailed and well presented.
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